http://www.advising.cse.umn.edu/ describes Minnesota CS&E secondary admission to major process. 3.2 college GPA in technical courses automatically admits to major; lower GPAs face competitive admission to major.
http://www.advising.cse.umn.edu/cgi-bin/courses/noauth/apply-major-statistics indicates that biomedical engineering one of the four CS&E majors that was not able to accommodate all interested applicants.
If you are admitted to bioengineering at UIUC, you just need to maintain a 2.25 college GPA in technical courses to continue to the third year of the curriculum, and maintain a 2.0 college GPA in technical courses to graduate: https://bioengineering.illinois.edu/academics/undergraduate/advising/curriculum-course-credit.html . However, if you want to change to a different engineering major, it may be difficult, because they have been filled up with direct admission of frosh.